Concepedia

Distribution Of Arithmetic Function Values

Distribution of Arithmetic Function Values is the study of the statistical behavior and frequency with which values of arithmetic functions occur over the integers, particularly in relation to their asymptotic density, limiting distributions, and fluctuations arising from number-theoretic structure.

83

Publications

3.9K

Citations

101

Authors

67

Institutions

Publications per year

2017–2026

2

Parents

Publications

83

The Annals of Mathematical Statistics

Wilford Isbell King · The Annals of Mathematical Statistics · 1930 · 833 citations · Full text

, , +12

The Distribution of Prime Numbers

Nature · 1933 · 473 citations · Full text

, , +6

The Annals of Mathematical Statistics

Journal of the American Statistical Association · 1938 · 242 citations · Full text

, , +12

On the Distribution of Numbers

R. W. Hamming · Bell System Technical Journal · 1970 · 135 citations

, , +11

Additive Arithmetical Functions and Statistical Independence

P. Erdös, Aurel Wintner · American Journal of Mathematics · 1939 · 104 citations

, , +9

1–5 of 83

Authors

101

  1. PE
    P. Erdös

    Hungarian Academy of Sciences, Hungary

    3 publications · 151 citations

    3

    h-index

  2. PE
    Paul Erdős

    Hungarian Academy of Sciences, Hungary

    3 publications · 86 citations

    3

    h-index

  3. HH
    H. Halberstam

    University of Nottingham, United Kingdom

    3 publications · 93 citations

    3

    h-index

  4. YI
    Yasutaka Ihara

    Kyoto University, Japan

    2 publications · 61 citations

    2

    h-index

  5. IK
    Imre Kátai

    Eötvös Loránd University, Hungary

    2 publications · 72 citations

    2

    h-index

1–5 of 101

Institutions

67

  1. Eötvös Loránd University

    Budapest, Hungary

    2 h-index

    2 publications

    72 citations

  2. Université Paris-Sud

    Orsay, France

    2 h-index

    2 publications

    64 citations

  3. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    2 h-index

    2 publications

    64 citations

  4. ETH Zurich

    Zurich, Switzerland

    2 h-index

    2 publications

    64 citations

  5. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    4 publications

    90 citations

  6. Macquarie University

    Sydney, Australia

    2 h-index

    2 publications

    43 citations

  7. New York University

    New York, United States

    2 h-index

    2 publications

    67 citations

  8. Kyoto University

    Kyoto, Japan

    2 h-index

    2 publications

    61 citations

1–8 of 67

Venues

  1. Acta Arithmetica

    7 publications · 194 citations

    7

    h-index

  2. Journal of the London Mathematical Society

    6 publications · 221 citations

    6

    h-index

  3. 5

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 4 publications · 197 citations

    4

    h-index

  5. Journal of Number Theory

    4 publications · 62 citations

    4

    h-index

1–5